Solution method for underdetermined systems of nonlinear equations
2019 ◽
Vol 34
(3)
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pp. 163-174
Keyword(s):
Abstract In this paper we present a new solution method for underdetermined systems of nonlinear equations in a neighborhood of a certain point of the variety of solutions where the Jacoby matrix has incomplete rank. Such systems are usually called degenerate. It is known that the Gauss–Newton method can be used in the degenerate case. However, the variety of solutions in a neighborhood of the considered point can have several branches in the degenerate case. Therefore, the analysis of convergence of the method requires special techniques based on the constructions of the theory of p-regularity and p-factor-operators.
Keyword(s):
2007 ◽
Vol 47
(5)
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pp. 748-759
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Keyword(s):
2008 ◽
Vol 8
(2)
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pp. 1068-1073
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Keyword(s):
2012 ◽
Vol 72
(4)
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pp. 982-1001
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